# Exercise 1.8 (3)

3. Write the converse, inverse and contrapositive of the following statements.

i) If it snows, then they do not drive the car.

Ans:

Let p : It Snows.

q : They do not drive the car.

∴ The given Statement in symbolic form is p → q.

It’s Converse is q → p .

∴ If they do not drive the car then it snows.

Its Inverse is ~p →~q.

∴If it does not snow then they drive the car.

Its Contrapositive is ~q →~p

∴ If they drive the car then it does not snows.

ii) If he studies, then he will go to college.

Ans:

Let p : He studies

q : He will go to college

∴ then given statement in Symbolic form is q→p

It’s Converse is q→p.

∴ If he go to college then he studies.

Its Inverse is ~p →~q.

If he does not study then he will not go to college.

Its Contrapositive is ~q →~p

If he will not go to college then he does not study.